TMATMUL_BIAS

Instruction Diagram

Introduction

Performs matrix multiplication with bias addition.

Mathematical Semantics

Assume:

• M = aMatrix.GetValidRow()
• K = aMatrix.GetValidCol()
• N = bMatrix.GetValidCol()

For 0 <= i < M and 0 <= j < N:

$$\mathrm{C}_{i,j} = \sum_{k=0}^{K-1} \mathrm{A}_{i,k} \cdot \mathrm{B}_{k,j} + \mathrm{Bias}_{0,j}$$

The bias broadcast behavior is implementation-defined.

Assembly Syntax

Synchronous form:

%acc = tmatmul.bias %a, %b, %bias : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

AS Level 1 (SSA)

%c = pto.tmatmul.bias %a, %b, %bias : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

AS Level 2 (DPS)

pto.tmatmul.bias ins(%a, %b, %bias : !pto.tile_buf<...>, !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%c : !pto.tile_buf<...>)

C++ Built-in APIs

Declared in include/pto/common/pto_instr.hpp:

The public include header is <pto/pto-inst.hpp>, and the internal declaration is located in pto/common/pto_instr.hpp.

template <typename TileRes, typename TileLeft, typename TileRight, typename TileBias, typename... WaitEvents>
PTO_INST RecordEvent TMATMUL_BIAS(TileRes &cMatrix, TileLeft &aMatrix, TileRight &bMatrix, TileBias &biasData, WaitEvents &... events);

template <AccPhase Phase, typename TileRes, typename TileLeft, typename TileRight, typename TileBias,
          typename... WaitEvents>
PTO_INST RecordEvent TMATMUL_BIAS(TileRes &cMatrix, TileLeft &aMatrix, TileRight &bMatrix, TileBias &biasData, WaitEvents &... events);

Constraints

• All constraints from TMATMUL apply to the (cMatrix, aMatrix, bMatrix) triple.
• Bias constraints (Atlas A2/A3 training products/Atlas A2/A3 inference products):
  • TileBias::DType must match TileRes::DType.
  • TileBias::Loc == TileType::Bias and TileBias::Rows == 1.
• Bias constraints (Ascend 950PR/Ascend 950DT):
  • TileBias::DType must match TileRes::DType.
  • TileBias::Loc == TileType::Bias, TileBias::Rows == 1, and TileBias::isRowMajor.

Examples

Automatic

#include <pto/pto-inst.hpp>

using namespace pto;

void example_auto() {
  using A = TileLeft<half, 16, 16>;
  using B = TileRight<half, 16, 16>;
  using Bias = Tile<TileType::Bias, float, 1, 16>;
  using C = TileAcc<float, 16, 16>;
  A a;
  B b;
  Bias bias;
  C c;
  TMATMUL_BIAS(c, a, b, bias);
}

Manual

#include <pto/pto-inst.hpp>

using namespace pto;

void example_manual() {
  using A = TileLeft<half, 16, 16>;
  using B = TileRight<half, 16, 16>;
  using Bias = Tile<TileType::Bias, float, 1, 16>;
  using C = TileAcc<float, 16, 16>;
  A a;
  B b;
  Bias bias;
  C c;
  TASSIGN(a, 0x1000);
  TASSIGN(b, 0x2000);
  TASSIGN(bias, 0x3000);
  TASSIGN(c, 0x4000);
  TMATMUL_BIAS(c, a, b, bias);
}

ASM Examples

Automatic Mode

# Automatic mode: the compiler/runtime handles resource placement and scheduling.
%c = pto.tmatmul.bias %a, %b, %bias : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

Manual Mode

# Manual mode: explicitly bind resources first, then issue the instruction.
# Optional (when the instruction contains tile operands):
# pto.tassign %arg0, @tile(0x1000)
# pto.tassign %arg1, @tile(0x2000)
%c = pto.tmatmul.bias %a, %b, %bias : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

PTO Assembly Form

%acc = tmatmul.bias %a, %b, %bias : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>
# AS Level 2 (DPS)
pto.tmatmul.bias ins(%a, %b, %bias : !pto.tile_buf<...>, !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%c : !pto.tile_buf<...>)